$1.$ You received $$7,500$ in inheritance. A local credit union offers a $10-$year certificate of deposit $($CD$)$ that earns $4\mathrm{.}25\%$ in simple interest annually. During the $10-$year term, you cannot withdraw your investment early without receiving a financial penalty. $(10$ points total$)$

a$.$ If you invest the $$7,500$ inheritance, how much money would you earn in simple interest from the CD when it matures $($after $10$ years$)?$ Round your answer to the nearest cent.

b$.$ If you invest the $$7,500,$ how much money would you have in total from the CD when it matures?

c$.$ If you withdraw your investment before the end of the $10-$year term, you will be penalized a half of a year$$s worth of interest. How much money would the $$7,500$ CD be worth if you withdrew your money exactly $4$ years into the investment? Round your answer to the nearest cent. $[$